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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
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L. IB. V. DE RESISTENTIA CORPORI.
distantiarum, ab altera extremitate, BA, ratione resistentix, ve quadea
cui pondus appensum est: Sic enim cum BA, ad quadraTUM FF, vel
Fig. 41. Planum criangulare ABC, cuius quod idem est, ve quadrarum BC,
Cab. 2. balis AB, muro afixa AC; Rcque ad quadiacum FC; ratione vero
pondus G, appentu; duCaEUE FF, rectis, veOF, ad OB; igitur cum
parallela AB; dico relistentiam AB, duplicata GB, GF, SE compolIEa eX
elle ad resiSentiAM E. F, in duplicata rarione CB, ad OF, bis lumpta, (2
distantiarum OB, OF; quod Facilé
demOnscEO; namm resictencia baTIUI,
alcera coltatur, Ceu derrahacur ex
duplicara, vel compolica, altera
diverla alcirudinis. lune in dupli. Sumplex remanec: igitur, si ex du-
eata alticudinum. Per p. 31. 12. 5. plicata GB, OF, ratione baliS, de
igicur relilcentia BA, Cst ad FF, VE
guadearum BA, ad quadeaCUIM FF;
CedveBA, ad FF, iCa BC, ad FC5
Cunc enim ABC, EFO, aequiangula,
e proportionalia; ergo ve quadra-
cum BA; ad quadratum FF, ica
quadratum BC. 2d quadracum FC;
igicur relictencia basis BA, ad rCM-
Cenciam basIS FF. eA vE quadea-
cum BC, ad quadratum FC; idem
de omni alia bali demonstrari po-
cest; isitur relictentix lingularum
balium. Cune in duplicaca distan-
ciacum, a pondere appenlo.
PROD. LXIZ
Si basis plani criangularis affiga-
cur muro, e habeatur tanium ratio
ponderis appensi; momenta sunt ve
distantia, permurando: v. 8. (Ic POn-
dus appensum C, sic qualiber ba-
15, Puca FF.; dico momentum pon-
deris C, comparocum cum bal PF,
id eA quatenus eniritur, CONITa
relictenciam basISFF, esse ad mo-
mencum eiuldem ponderis G, qua-
renus enicitur contra relistentiam
AB, vE GB, ad BF; quod demon-
Aro; quia momenta ciuldem pon-
deris, lunc in ratione compolicas
ex duplicata balium permutando;
e ex ratione dictanciarum, non
eratias simplicem rationem CB, ad
CF racione rectis; Cuperest tan-
cum simplex racio GB, ad OF,
quam nomeneum C. comparacum
CuM FF, haber ad momentum cius-
dem C, comparaci cum AB; igicue
momenta Cune re dictantia, per-
mucando; hinc re vides, decrescie
momentum ponderis appensi, in
parallelipipedo AC, ab attixa bali,
ad aliam excremicarem, in eadem
ratione, in qua decrelcie distancias
v. 8. momentum ponderis C, ap.
Penli rectangulo AC comparaci
cum bali BA, est ad momentum
eiuldem ponderis C, comparaci cum
BaSI FFC vE GB, 2d GF; aC ve-
roh loco rectanguli, AO, allumas
criangulum ABC, momeneum 
comparari cum BA, est ad momen-
cum C, Comparati CUIM FE, VE OF,
ad CB; igitur in rectangulo. e
EFIANGUIO, OIENEORUIM CFeIENEA;
in parces concrarias procedune; vis
calculos, sc GB, dupla CF, racio
duplicata CBCF, est =. permu-
retur =. rario simplex est =. com-
polica vero =. Led vE 2. ad 4. ica
B6, 2d OF.
PROP. LXX.
Si vero pondus tantum proprium
permucando; isieur momencum consideretur, non vero appensum,
ponderis C, quarenus asi conra momenta sunt ut distantie: Sit
EFCC
enim